College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises: 10

Answer

$x=0$ or $x=\pm\sqrt{2}$

Work Step by Step

We solve by factoring out $6x$: $6x^{5}-24x=0$ $6x(x^{4}-4)=0$ $6x(x^{2}+2)(x^{2}-2)=0$ $6x=0$ or $x^2+2=0$ or $x^2-2=0$ $x=0$ or $x=\pm\sqrt{2}$ (The middle equation, $x^2+2=0$ has no real solution.)
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